465280 has 32 divisors (see below), whose sum is σ = 1113840. Its totient is φ = 185856.

The previous prime is 465277. The next prime is 465281. The reversal of 465280 is 82564.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277 + ... + 1003.

2⁴⁶⁵²⁸⁰ is an apocalyptic number.

465280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556920).

465280 is an abundant number, since it is smaller than the sum of its proper divisors (648560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465280 is an equidigital number, since it uses as much as digits as its factorization.

465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 465280 is about 682.1143599134. The cubic root of 465280 is about 77.4886559879.

The spelling of 465280 in words is "four hundred sixty-five thousand, two hundred eighty".